Mathematics: What is the product of -2x^3 + x - 5 and x^3 - 3x - 4 ? show your work. is the product of x^3 - 3x - 4 and -2x^3 + x - 5 equal to the product of and ? explain your answer.

What is the product of -2x^3 + x - 5 and x^3 - 3x

mooreadrian412

10.03.2022

For this case we must find the product of the following expressions:

(-2x ^ 3 + x-5) (x ^ 3-3x-4)

We apply distributive property, that is, we multiply term by term, taking into account that:

$- * - = +\\- * + = -$

$-2x ^ {3 + 3} + 6x^{3 + 1} + 8x ^ 3 + x ^ {1 + 3} -3x1 + 1 -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20$

If we multiply:

(x ^ 3-3x-4) (- 2x ^ 3 + x-5)

We will obtain the same result because we would be applying the commutative property of multiplication.

-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20

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